cp
command provides an option –p for copying the file without
changing the mode, ownership and timestamps.

--preserve option
gives you the provision to choose the options from

ownership, mode and
timestamp.

Note: suppose if
you are trying to copy the files from one user using a different user other
than root, the mode, ownership will change and will create files with same
timestamp. You have to try with root user to copy the files to different user
to keep the same timestamp, mode and ownership(all attributes)